What is the Greatest Common Factor of 41382 and 41401?

Greatest common factor (GCF) of 41382 and 41401 is 19.

GCF(41382,41401) = 19

We will now calculate the prime factors of 41382 and 41401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41382 and 41401.

How to find the GCF of 41382 and 41401?

We will first find the prime factorization of 41382 and 41401. After we will calculate the factors of 41382 and 41401 and find the biggest common factor number .

Step-1: Prime Factorization of 41382

Prime factors of 41382 are 2, 3, 11, 19. Prime factorization of 41382 in exponential form is:

41382 = 2¹ × 3² × 11² × 19¹

Step-2: Prime Factorization of 41401

Prime factors of 41401 are 19, 2179. Prime factorization of 41401 in exponential form is:

41401 = 19¹ × 2179¹

Step-3: Factors of 41382

List of positive integer factors of 41382 that divides 41382 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 121, 171, 198, 209, 242, 342, 363, 418, 627, 726, 1089, 1254, 1881, 2178, 2299, 3762, 4598, 6897, 13794, 20691

Step-4: Factors of 41401

List of positive integer factors of 41401 that divides 41382 without a remainder.

1, 19, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41382 and 41401. The biggest common factor number is the GCF number.
So the greatest common factor 41382 and 41401 is 19.

Also check out the Least Common Multiple of 41382 and 41401